Problem 16 · 2011 Math Kangaroo
Medium
Arithmetic & Operations
careful-counting
During a party, two identical cakes were each cut into four identical pieces. Each of these pieces was then cut into three identical pieces. Each person at the party got a piece of cake, and there were three pieces left over. How many people were at the party?
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Answer: B — 21
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Hint 1 of 2
Work out how many small pieces the two cakes are cut into altogether.
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Hint 2 of 2
Each person ate one piece, and three pieces were left.
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Approach: count pieces, then subtract leftovers
- Two cakes × 4 = 8 quarters, and each quarter × 3 = 24 small pieces in all.
- Three pieces were left over, so the number of people = 24 − 3 = 21, answer B.
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